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Finding the Third Proportional to 26,832.50 and 58,849

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Solution

The third proportional to 26,832.50 and 58,849 is: 129,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,832.50 : 58,849 = 58,849 : x
  2. Step 2: Convert to fraction form
    26,832.50/58,849 = 58,849/x
  3. Step 3: Cross multiply
    26,832.50x = 58,849 × 58,849
  4. Step 4: Simplify right side
    26,832.50x = 3,463,204,801
  5. Step 5: Solve for x
    x = 3,463,204,801/26,832.50
  6. Step 6: Final answer
    x = 129,067.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.